The switch in this circuit has been closed for a very long time before being opened at time t = 0.Using Kirchhoff's Laws and the I-V relations of the circuit elements, determine the second-order differential equation governing the behavior of the capacitor's voltage drop vC as a function of time t, for t > 0. If this equation is written in the form
d2vCdt2
+ a1
dvCdt
+ a2 · vC = b,
identify the coefficients a1, a2 and b in terms of the circuit parameters R, Rs, L, C, and Is.
a1 =
a2 =
b =